Binet’s formula for operator-valued recursive sequences and the operator moment problem
We derive a Binet-type formula for operator-valued sequences satisfying linear recurrence relations, extending the classical scalar case to the setting of bounded operators on Hilbert spaces. In this framework, we analyze the operator moment problem as an application, establishing new connections between recursive operator sequences and moment sequences.
Authors
- Kaissar Idrissi (ORCID: https://orcid.org/0000-0002-3279-4613)
- A. Ech-charyfy (ORCID: https://orcid.org/0009-0004-8273-5496)
- Allal Ghanmi (ORCID: https://orcid.org/0000-0003-0764-5576)
- Abdellah Salhi (ORCID: https://orcid.org/0000-0003-2433-2627)
Institutions
- Mohammed V University (MA)
- École Normale Supérieure de l'Enseignement Technique de Mohammedia (MA)
Publication Details
- Journal
- Extracta Mathematicae
- Published
- 2025-12-17
- DOI
- https://doi.org/10.17398/2605-5686.40.2.181
- Primary Topic
- Holomorphic and Operator Theory
- Type
- article
- Field-Weighted Citation Impact
- 0.00